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-BARSIC- [3]
3 years ago
13

A nonzero polynomial with rational coefficients has all of the numbers [1 sqrt{2}, ; 2 sqrt{3}, ;3 sqrt{4},; dots, ;1000 sqrt{10

01}]as roots. What is the smallest possible degree of such a polynomial?
Mathematics
1 answer:
Colt1911 [192]3 years ago
8 0

Answer:

Its degree can be at least 1970

Step-by-step explanation:

for each root of the form √q, where q is not a square, we have a root -√q. Therefore, we need to find, among the numbers below to 1000, how many sqaures there are.

Since √1000 = 31.6, we have a total of 30 squares:

2², 3², 4², ...., 30², 31²

Each square gives one root and the non squares (there are 1000-30 = 970 of them) gives 2 roots (one for them and one for the opposite). Hence the smallest degree a rational polynomial can have is

970*2 + 30 = 1970

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8n-13=13-8n can someone answer with steps, please?
NARA [144]

Answer:

1.625

Step-by-step explanation:

Add 13 to both sides

8n = 26 - 8n

Add 8n to both sides

16n = 26

Divide both sides by 16

Your answer is 1.625

Hope I helped :)

Please consider Brainliest for me :)

(unless the other person does a better job)

(Which they probably will) :)

4 0
3 years ago
I need help I do not get it please help
zhenek [66]
The first fraction is 4 over 6, right? hopefully it is, i cant really see. 
Basically, you can divide 4 and 6 by the same number, they have factors in common. They're both multiples of 2. if you divide them both by 2, you get 2 over 3, which is the <em>exact same amount as 4 over 6, it's just written in a simpler way. </em>the first answer is 2 over 3.

What numbers can both 10 and 15 be divided by? give it a try.
4 0
3 years ago
Read 2 more answers
In a package of 40 skittles, 35% were red. How many were not red?
wel
Answer:

40 skittles times the percent of red

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We then take that then subtract that from the total.

40 - 14 = 26

26 skittles were red.

0.35 is equivalent to 35%

Leave a thanks or a brainliest if this helped.
3 0
3 years ago
Read 2 more answers
1. Ten slips of paper labeled from 1 to 10 are placed in a hat. The first slip of paper is NOT replaced before selecting the sec
Oduvanchick [21]
<span><span>1. If we get an odd number first (probability 5/10 = 1/2), then the only way to get a number greater than 9 is the 10 (probability 1/9, since only 9 papers remain). This gives 1/2 * 1/9 = 1/18.</span></span><span><span>
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</span></span><span><span>2. We would expect that P(2 white cards) = P(1 white card)*P(2nd white card given 1 white card).</span></span><span><span /></span><span><span>This gives the equation 14/95 = 2/5 * x<span>
</span></span></span><span><span><span>Solving for x gives x = 7/19.</span></span></span><span><span>
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</span></span><span><span>3. There are a total of 4 favorable results: 1, 4, 5, 6. Out of the 6 possibilities, this is a probability of 4/6 = 2/3.</span></span>
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3 years ago
Find the perimeter of a rectangle with 33 inches for a width and 75 inches for the length. Have the perimeter in YARDS.
juin [17]
The answer is 72
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3 years ago
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